Question 420525
can you please show me step by step of 3/2log[2]4-1/2log[2]x=3

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3/2log[2]4-1/2log[2]x=3
log2(4^(3/2))-log2x^(1/2)=3
Using division rule for logs
log2((4^(3/2))/x^(1/2)=3
convert to exponential form(base raised to the log of the number=number)
2^3=(4^(3/2))/x^(1/2)=8
   8/sqrt(x)=8
   8*sqrt(x)=8
   sqrt(x)=1
ans:x=1